1010034312 has 64 divisors (see below), whose sum is σ = 2978918400. Its totient is φ = 279270720.

The previous prime is 1010034307. The next prime is 1010034317. The reversal of 1010034312 is 2134300101.

1010034312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010034307) and next prime (1010034317).

It is a super-2 number, since 2×1010034312² = 2040338622834626688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010034291 and 1010034300.

It is not an unprimeable number, because it can be changed into a prime (1010034317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91762 + ... + 102177.

It is an arithmetic number, because the mean of its divisors is an integer number (46545600).

Almost surely, 2^1010034312 is an apocalyptic number.

1010034312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010034312 is an abundant number, since it is smaller than the sum of its proper divisors (1968884088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010034312 is a wasteful number, since it uses less digits than its factorization.

1010034312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193986 (or 193982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1010034312 is about 31781.0369874867. The cubic root of 1010034312 is about 1003.3336451277. Note that the first 3 decimals are identical.

Adding to 1010034312 its reverse (2134300101), we get a palindrome (3144334413).

The spelling of 1010034312 in words is "one billion, ten million, thirty-four thousand, three hundred twelve".